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Finding the Fourth Proportional to 4,215.40, 6,323.40 and 1,293.70

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Solution

The fourth proportional to 4,215.40, 6,323.40 and 1,293.70 is: 1,940.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,215.40 : 6,323.40 = 1,293.70 : x
  2. Step 2: Convert to fraction form
    4,215.40/6,323.40 = 1,293.70/x
  3. Step 3: Cross multiply
    4,215.40x = 6,323.40 × 1,293.70
  4. Step 4: Simplify right side
    4,215.40x = 8,180,582.58
  5. Step 5: Solve for x
    x = 8,180,582.58/4,215.40
  6. Step 6: Final answer
    x = 1,940.64

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.